A soda bottle is flexible enough that the volume of the bottle can change even without opening it. If you have an empty soda bottle (volume of 2.0 L) at room temperature (25 0C), what will the new volume be if you put it in your freezer (-4.0 0C) ?

Question

Brian

Physics

20 August, 19:34

A soda bottle is flexible enough that the volume of the bottle can change even without opening it. If you have an empty soda bottle (volume of 2.0 L) at room temperature (25 0C), what will the new volume be if you put it in your freezer (-4.0 0C) ?

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Answers (1)

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Guadalupe Mcneil · Answer 1

Answer: 1.81 L

Explanation:

Let us assume that we are dealing with an ideal or perfect gas. Thus we can use the formula from Charles' law that relates the volume with respect to the temperature of a gas.

Given:

Initial volume (V1) = 2L

Initial temperature (T1) = 25°C = 273 + 25 = 298 K

Final temperature (T2) = - 4°C = 273 - 4 = 269 K

Final Volume (V2) = ?

Using Charles' law like we stated above, we have

(V1) / (T1) = (V2) / (T2), making V2 the subject of formula, we have

V2 = (V1 * T2) / T1

V2 = (2L * 269 K) / (298 K)

V2 = 538 L. K / 298 K

V2 = 1.81 L